42359760 has 120 divisors (see below), whose sum is σ = 147594720. Its totient is φ = 11290752.

The previous prime is 42359743. The next prime is 42359771. The reversal of 42359760 is 6795324.

42359760 is a `hidden beast` number, since 4 + 2 + 3 + 597 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18351 + ... + 20529.

It is an arithmetic number, because the mean of its divisors is an integer number (1229956).

Almost surely, 2^42359760 is an apocalyptic number.

42359760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42359760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73797360).

42359760 is an abundant number, since it is smaller than the sum of its proper divisors (105234960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42359760 is a wasteful number, since it uses less digits than its factorization.

42359760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 42359760 is about 6508.4376005306. The cubic root of 42359760 is about 348.5923324764.

The spelling of 42359760 in words is "forty-two million, three hundred fifty-nine thousand, seven hundred sixty".